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9 November, 04:01

Carmen begins her next painting on a rectangular canvas that is 82.7cm long and has an area of 8137.68 cm2. Will the painting fit in a frame with an opening that 82.7cm long and 95cm wide

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  1. 9 November, 04:45
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    Length of the rectangular canvas = 82.7 cm

    Area of the rectangular canvas = 8137.68 cm^2

    Let us assume the width of the rectangular canvas = x cm

    Then we already know

    Area of a rectangle = Length * width

    8137.68 = 82.7 * x

    x = (8137.68/82.7) cm

    = 98.4 cm

    So the width of the rectangular canvas is 98.4 cm. But we can see that the frame of the painting has a length of 82.7 cm and a width of 95 cm, so the painting will not fit in the frame as the painting has a length is 82.7 cm and the width is 98.4 cm. So the width of the painting is greater than the width of the frame.
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